2755389760 has 112 divisors (see below), whose sum is σ = 6859737360. Its totient is φ = 1052835840.

The previous prime is 2755389751. The next prime is 2755389773. The reversal of 2755389760 is 679835572.

It can be written as a sum of positive squares in 8 ways, for example, as 108493056 + 2646896704 = 10416^2 + 51448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2755389698 and 2755389707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898630 + ... + 901690.

It is an arithmetic number, because the mean of its divisors is an integer number (61247655).

Almost surely, 2^2755389760 is an apocalyptic number.

2755389760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429868680).

2755389760 is an abundant number, since it is smaller than the sum of its proper divisors (4104347600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2755389760 is a wasteful number, since it uses less digits than its factorization.

2755389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 52.

The square root of 2755389760 is about 52491.8065987445. The cubic root of 2755389760 is about 1401.9343601048.

The spelling of 2755389760 in words is "two billion, seven hundred fifty-five million, three hundred eighty-nine thousand, seven hundred sixty".